"He indicated that he had apologised sincerely to Prime Minister Ardern for any offence given, and had certainly not intended to suggest any harm through his comments," the chairman said in a statement last night.

"Notwithstanding his apologies, I have today discussed the matter with Alan and advised him that any recurrence of commentary of this nature will result in the termination of his contract."

Macquarie Media only re-signed Jones on a lucrative two-year contract in May following months of tense negotiations.

Several companies have indicated they intend to pull advertising from Jones' on breakfast program - which is broadcast on 2GB in Sydney and 4BC in Brisbane - following his remarks about Ms Ardern.

They include ME Bank, Snooze and Bing Lee.

"Behaviour like this don't reflect our values here so it was an easy choice to pull advertising," ME Bank tweeted.